

A032254


"DHK" (bracelet, identity, unlabeled) transform of 1,2,3,4,...


2



1, 1, 2, 5, 8, 16, 29, 59, 124, 287, 670, 1634, 3992, 9867, 24320, 60290, 149124, 370146, 918796, 2286685, 5697484, 14227797, 35583724, 89168380, 223794690, 562624780, 1416520302, 3571567951, 9017077418, 22794093212
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OFFSET

0,3


LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..500
C. G. Bower, Transforms (2)


PROG

(PARI)
DHK(p, n)={my(q=((1+p)^2/(1subst(p, x, x^2))1)/2); p + (p^2subst(p, x, x^2))/2 + sum(d=1, n, moebius(d)*(log(subst(1/(1+O(x*x^(n\d))p), x, x^d))/d  subst(q + O(x*x^(n\d)), x, x^d)))/2}
seq(n)={Vec(1 + DHK(x/(1x)^2 + O(x*x^n), n))} \\ Andrew Howroyd, Sep 21 2018


CROSSREFS

Sequence in context: A026007 A032233 A026530 * A323586 A048237 A048139
Adjacent sequences: A032251 A032252 A032253 * A032255 A032256 A032257


KEYWORD

nonn


AUTHOR

Christian G. Bower


EXTENSIONS

a(0)=1 prepended by Andrew Howroyd, Sep 21 2018


STATUS

approved



